4(3+5x)-4=3+2(x-1)

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Solution for 4(3+5x)-4=3+2(x-1) equation: 


Simplifying
4(3 + 5x) + -4 = 3 + 2(x + -1)
(3 * 4 + 5x * 4) + -4 = 3 + 2(x + -1)
(12 + 20x) + -4 = 3 + 2(x + -1)

Reorder the terms:
12 + -4 + 20x = 3 + 2(x + -1)

Combine like terms: 12 + -4 = 8
8 + 20x = 3 + 2(x + -1)

Reorder the terms:
8 + 20x = 3 + 2(-1 + x)
8 + 20x = 3 + (-1 * 2 + x * 2)
8 + 20x = 3 + (-2 + 2x)

Combine like terms: 3 + -2 = 1
8 + 20x = 1 + 2x

Solving
8 + 20x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
8 + 20x + -2x = 1 + 2x + -2x

Combine like terms: 20x + -2x = 18x
8 + 18x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 18x = 1 + 0
8 + 18x = 1

Add '-8' to each side of the equation.
8 + -8 + 18x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = 1 + -8
18x = 1 + -8

Combine like terms: 1 + -8 = -7
18x = -7

Divide each side by '18'.
x = -0.3888888889

Simplifying
x = -0.3888888889

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